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The vibrations of three two-dimensional lattices

Published online by Cambridge University Press:  24 October 2008

P. Dean
P. Dean
Affiliation:
Mathematics Division, National Physical Laboratory, Teddington
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Abstract

Dispersion relations are derived for the triangular, honeycomb and Kagomé lattices using theorems for the eigenvalues of block circulant matrices. Constant frequency contours are plotted for each of the spectral branches of the three lattices and the distribution functions for squared frequencies are sketched.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 2 , April 1963 , pp. 383 - 396
Copyright
Copyright © Cambridge Philosophical Society 1963

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References

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